package leo.mystudy.leetcode;

import java.util.Date;

/**
 * 盛最多水的容器
 *
 * @author chao.li@quvideo.com
 * @date 2018/7/3 17:40
 */
public class ContainerWithMostWater {
    //    给定 n 个非负整数 a1，a2，...，an，每个数代表坐标中的一个点 (i, ai) 。画 n 条垂直线，使得垂直线 i 的两个端点分别为 (i, ai) 和 (i, 0)。找出其中的两条线，使得它们与 x 轴共同构成的容器可以容纳最多的水。
//
//    注意：你不能倾斜容器，n 至少是2。
    public int maxArea(int[] height) {
        int maxArea = 0;
        int l = 0, r = height.length - 1;
        while (l < r) {
            maxArea = Math.max(maxArea, Math.min(height[l], height[r]) * (r - l));
            if (height[l] < height[r]) {
                l++;
            } else {
                r--;
            }
        }
        return maxArea;
    }


    /**
     * 根据木桶原理计算容量
     *
     * @param height1
     * @param height2
     * @param width
     * @return
     */
    private int capacity(int height1, int height2, int width) {
        return Integer.min(height1, height2) * width;
    }

    public static void main(String[] args) {
        int[] nums = {6043, 6042, 6041, 6040, 6039, 6038, 6037, 6036, 6035, 6034, 6033, 6032, 6031, 6030, 6029, 6028, 6027, 6026, 6025, 6024, 6023, 6022, 6021, 6020, 6019, 6018, 6017, 6016, 6015, 6014, 6013, 6012, 6011, 6010, 6009, 6008, 6007, 6006, 6005, 6004, 6003, 6002, 6001, 6000, 5999, 5998, 5997, 5996, 5995, 5994, 5993, 5992, 5991, 5990, 5989, 5988, 5987, 5986, 5985, 5984, 5983, 5982, 5981, 5980, 5979, 5978, 5977, 5976, 5975, 5974, 5973, 5972, 5971, 5970, 5969, 5968, 5967, 5966, 5965, 5964, 5963, 5962, 5961, 5960, 5959, 5958, 5957, 5956, 5955, 5954, 5953, 5952, 5951, 5950, 5949, 5948, 5947, 5946, 5945, 5944, 5943, 5942, 5941, 5940, 5939, 5938, 5937, 5936, 5935, 5934, 5933, 5932, 5931, 5930, 5929, 5928, 5927, 5926, 5925, 5924, 5923, 5922, 5921, 5920, 5919, 5918, 5917, 5916, 5915, 5914, 5913, 5912, 5911, 5910, 5909, 5908, 5907, 5906, 5905, 5904, 5903, 5902, 5901, 5900, 5899, 5898, 5897, 5896, 5895, 5894, 5893, 5892, 5891, 5890, 5889, 5888, 5887, 5886, 5885, 5884, 5883, 5882, 5881, 5880, 5879, 5878, 5877, 5876, 5875, 5874, 5873, 5872, 5871, 5870, 5869, 5868, 5867, 5866, 5865, 5864, 5863, 5862, 5861, 5860, 5859, 5858, 5857, 5856, 5855, 5854, 5853, 5852, 5851, 5850, 5849, 5848, 5847, 5846, 5845, 5844, 5843, 5842, 5841, 5840, 5839, 5838, 5837, 5836, 5835, 5834, 5833, 5832, 5831, 5830, 5829, 5828, 5827, 5826, 5825, 5824, 5823, 5822, 5821, 5820, 5819, 5818, 5817, 5816, 5815, 5814, 5813, 5812, 5811, 5810, 5809, 5808, 5807, 5806, 5805, 5804, 5803, 5802, 5801, 5800, 5799, 5798, 5797, 5796, 5795, 5794, 5793, 5792, 5791, 5790, 5789, 5788, 5787, 5786, 5785, 5784, 5783, 5782, 5781, 5780, 5779, 5778, 5777, 5776, 5775, 5774, 5773, 5772, 5771, 5770, 5769, 5768, 5767, 5766, 5765, 5764, 5763, 5762, 5761, 5760, 5759, 5758, 5757, 5756, 5755, 5754, 5753, 5752, 5751, 5750, 5749, 5748, 5747, 5746, 5745, 5744, 5743, 5742, 5741, 5740, 5739, 5738, 5737, 5736, 5735, 5734, 5733, 5732, 5731, 5730, 5729, 5728, 5727, 5726, 5725, 5724, 5723, 5722, 5721, 5720, 5719, 5718, 5717, 5716, 5715, 5714, 5713, 5712, 5711, 5710, 5709, 5708, 5707, 5706, 5705, 5704, 5703, 5702, 5701, 5700, 5699, 5698, 5697, 5696, 5695, 5694, 5693, 5692, 5691, 5690, 5689, 5688, 5687, 5686, 5685, 5684, 5683, 5682, 5681, 5680, 5679, 5678, 5677, 5676, 5675, 5674, 5673, 5672, 5671, 5670, 5669, 5668, 5667, 5666, 5665, 5664, 5663, 5662, 5661, 5660, 5659, 5658, 5657, 5656, 5655, 5654, 5653, 5652, 5651, 5650, 5649, 5648, 5647, 5646, 5645, 5644, 5643, 5642, 5641, 5640, 5639, 5638, 5637, 5636, 5635, 5634, 5633, 5632, 5631, 5630, 5629, 5628, 5627, 5626, 5625, 5624, 5623, 5622, 5621, 5620, 5619, 5618, 5617, 5616, 5615, 5614, 5613, 5612, 5611, 5610, 5609, 5608, 5607, 5606, 5605, 5604, 5603, 5602, 5601, 5600, 5599, 5598, 5597, 5596, 5595, 5594, 5593, 5592, 5591, 5590, 5589, 5588, 5587, 5586, 5585, 5584, 5583, 5582, 5581, 5580, 5579, 5578, 5577, 5576, 5575, 5574, 5573, 5572, 5571, 5570, 5569, 5568, 5567, 5566, 5565, 5564, 5563, 5562, 5561, 5560, 5559, 5558, 5557, 5556, 5555, 5554, 5553, 5552, 5551, 5550, 5549, 5548, 5547, 5546, 5545, 5544, 5543, 5542, 5541, 5540, 5539, 5538, 5537, 5536, 5535, 5534, 5533, 5532, 5531, 5530, 5529, 5528, 5527, 5526, 5525, 5524, 5523, 5522, 5521, 5520, 5519, 5518, 5517, 5516, 5515, 5514, 5513, 5512, 5511, 5510, 5509, 5508, 5507, 5506, 5505, 5504, 5503, 5502, 5501, 5500, 5499, 5498, 5497, 5496, 5495, 5494, 5493, 5492, 5491, 5490, 5489, 5488, 5487, 5486, 5485, 5484, 5483, 5482, 5481, 5480, 5479, 5478, 5477, 5476, 5475, 5474, 5473, 5472, 5471, 5470, 5469, 5468, 5467, 5466, 5465, 5464, 5463, 5462, 5461, 5460, 5459, 5458, 5457, 5456, 5455, 5454, 5453, 5452, 5451, 5450, 5449, 5448, 5447, 5446, 5445, 5444, 5443, 5442, 5441, 5440, 5439, 5438, 5437, 5436, 5435, 5434, 5433, 5432, 5431, 5430, 5429, 5428, 5427, 5426, 5425, 5424, 5423, 5422, 5421, 5420, 5419, 5418, 5417, 5416, 5415, 5414, 5413, 5412, 5411, 5410, 5409, 5408, 5407, 5406, 5405, 5404, 5403, 5402, 5401, 5400, 5399, 5398, 5397, 5396, 5395, 5394, 5393, 5392, 5391, 5390, 5389, 5388, 5387, 5386, 5385, 5384, 5383, 5382, 5381, 5380, 5379, 5378, 5377, 5376, 5375, 5374, 5373, 5372, 5371, 5370, 5369, 5368, 5367, 5366, 5365, 5364, 5363, 5362, 5361, 5360, 5359, 5358, 5357, 5356, 5355, 5354, 5353, 5352, 5351, 5350, 5349, 5348, 5347, 5346, 5345, 5344, 5343, 5342, 5341, 5340, 5339, 5338, 5337, 5336, 5335, 5334, 5333, 5332, 5331, 5330, 5329, 5328, 5327, 5326, 5325, 5324, 5323, 5322, 5321, 5320, 5319, 5318, 5317, 5316, 5315, 5314, 5313, 5312, 5311, 5310, 5309, 5308, 5307, 5306, 5305, 5304, 5303, 5302, 5301, 5300, 5299, 5298, 5297, 5296, 5295, 5294, 5293, 5292, 5291, 5290, 5289, 5288, 5287, 5286, 5285, 5284, 5283, 5282, 5281, 5280, 5279, 5278, 5277, 5276, 5275, 5274, 5273, 5272, 5271, 5270, 5269, 5268, 5267, 5266, 5265, 5264, 5263, 5262, 5261, 5260, 5259, 5258, 5257, 5256, 5255, 5254, 5253, 5252, 5251, 5250, 5249, 5248, 5247, 5246, 5245, 5244, 5243, 5242, 5241, 5240, 5239, 5238, 5237, 5236, 5235, 5234, 5233, 5232, 5231, 5230, 5229, 5228, 5227, 5226, 5225, 5224, 5223, 5222, 5221, 5220, 5219, 5218, 5217, 5216, 5215, 5214, 5213, 5212, 5211, 5210, 5209, 5208, 5207, 5206, 5205, 5204, 5203, 5202, 5201, 5200, 5199, 5198, 5197, 5196, 5195, 5194, 5193, 5192, 5191, 5190, 5189, 5188, 5187, 5186, 5185, 5184, 5183, 5182, 5181, 5180, 5179, 5178, 5177, 5176, 5175, 5174, 5173, 5172, 5171, 5170, 5169, 5168, 5167, 5166, 5165, 5164, 5163, 5162, 5161, 5160, 5159, 5158, 5157, 5156, 5155, 5154, 5153, 5152, 5151, 5150, 5149, 5148, 5147, 5146, 5145, 5144, 5143, 5142, 5141, 5140, 5139, 5138, 5137, 5136, 5135, 5134, 5133, 5132, 5131, 5130, 5129, 5128, 5127, 5126, 5125, 5124, 5123, 5122, 5121, 5120, 5119, 5118, 5117, 5116, 5115, 5114, 5113, 5112, 5111, 5110, 5109, 5108, 5107, 5106, 5105, 5104, 5103, 5102, 5101, 5100, 5099, 5098, 5097, 5096, 5095, 5094, 5093, 5092, 5091, 5090, 5089, 5088, 5087, 5086, 5085, 5084, 5083, 5082, 5081, 5080, 5079, 5078, 5077, 5076, 5075, 5074, 5073, 5072, 5071, 5070, 5069, 5068, 5067, 5066, 5065, 5064, 5063, 5062, 5061, 5060, 5059, 5058, 5057, 5056, 5055, 5054, 5053, 5052, 5051, 5050, 5049, 5048, 5047, 5046, 5045, 5044, 5043, 5042, 5041, 5040, 5039, 5038, 5037, 5036, 5035, 5034, 5033, 5032, 5031, 5030, 5029, 5028, 5027, 5026, 5025, 5024, 5023, 5022, 5021, 5020, 5019, 5018, 5017, 5016, 5015, 5014, 5013, 5012, 5011, 5010, 5009, 5008, 5007, 5006, 5005, 5004, 5003, 5002, 5001, 5000, 4999, 4998, 4997, 4996, 4995, 4994, 4993, 4992, 4991, 4990, 4989, 4988, 4987, 4986, 4985, 4984, 4983, 4982, 4981, 4980, 4979, 4978, 4977, 4976, 4975, 4974, 4973, 4972, 4971, 4970, 4969, 4968, 4967, 4966, 4965, 4964, 4963, 4962, 4961, 4960, 4959, 4958, 4957, 4956, 4955, 4954, 4953, 4952, 4951, 4950, 4949, 4948, 4947, 4946, 4945, 4944, 4943, 4942, 4941, 4940, 4939, 4938, 4937, 4936, 4935, 4934, 4933, 4932, 4931, 4930, 4929, 4928, 4927, 4926, 4925, 4924, 4923, 4922, 4921, 4920, 4919, 4918, 4917, 4916, 4915, 4914, 4913, 4912, 4911, 4910, 4909, 4908, 4907, 4906, 4905, 4904, 4903, 4902, 4901, 4900, 4899, 4898, 4897, 4896, 4895, 4894, 4893, 4892, 4891, 4890, 4889, 4888, 4887, 4886, 4885, 4884, 4883, 4882, 4881, 4880, 4879, 4878, 4877, 4876, 4875, 4874, 4873, 4872, 4871, 4870, 4869, 4868, 4867, 4866, 4865, 4864, 4863, 4862, 4861, 4860, 4859, 4858, 4857, 4856, 4855, 4854, 4853, 4852, 4851, 4850, 4849, 4848, 4847, 4846, 4845, 4844, 4843, 4842, 4841, 4840, 4839, 4838, 4837, 4836, 4835, 4834, 4833, 4832, 4831, 4830, 4829, 4828, 4827, 4826, 4825, 4824, 4823, 4822, 4821, 4820, 4819, 4818, 4817, 4816, 4815, 4814, 4813, 4812, 4811, 4810, 4809, 4808, 4807, 4806, 4805, 4804, 4803, 4802, 4801, 4800, 4799, 4798, 4797, 4796, 4795, 4794, 4793, 4792, 4791, 4790, 4789, 4788, 4787, 4786, 4785, 4784, 4783, 4782, 4781, 4780, 4779, 4778, 4777, 4776, 4775, 4774, 4773, 4772, 4771, 4770, 4769, 4768, 4767, 4766, 4765, 4764, 4763, 4762, 4761, 4760, 4759, 4758, 4757, 4756, 4755, 4754, 4753, 4752, 4751, 4750, 4749, 4748, 4747, 4746, 4745, 4744, 4743, 4742, 4741, 4740, 4739, 4738, 4737, 4736, 4735, 4734, 4733, 4732, 4731, 4730, 4729, 4728, 4727, 4726, 4725, 4724, 4723, 4722, 4721, 4720, 4719, 4718, 4717, 4716, 4715, 4714, 4713, 4712, 4711, 4710, 4709, 4708, 4707, 4706, 4705, 4704, 4703, 4702, 4701, 4700, 4699, 4698, 4697, 4696, 4695, 4694, 4693, 4692, 4691, 4690, 4689, 4688, 4687, 4686, 4685, 4684, 4683, 4682, 4681, 4680, 4679, 4678, 4677, 4676, 4675, 4674, 4673, 4672, 4671, 4670, 4669, 4668, 4667, 4666, 4665, 4664, 4663, 4662, 4661, 4660, 4659, 4658, 4657, 4656, 4655, 4654, 4653, 4652, 4651, 4650, 4649, 4648, 4647, 4646, 4645, 4644, 4643, 4642, 4641, 4640, 4639, 4638, 4637, 4636, 4635, 4634, 4633, 4632, 4631, 4630, 4629, 4628, 4627, 4626, 4625, 4624, 4623, 4622, 4621, 4620, 4619, 4618, 4617, 4616, 4615, 4614, 4613, 4612, 4611, 4610, 4609, 4608, 4607, 4606, 4605, 4604, 4603, 4602, 4601, 4600, 4599, 4598, 4597, 4596, 4595, 4594, 4593, 4592, 4591, 4590, 4589, 4588, 4587, 4586, 4585, 4584, 4583, 4582, 4581, 4580, 4579, 4578, 4577, 4576, 4575, 4574, 4573, 4572, 4571, 4570, 4569, 4568, 4567, 4566, 4565, 4564, 4563, 4562, 4561, 4560, 4559, 4558, 4557, 4556, 4555, 4554, 4553, 4552, 4551, 4550, 4549, 4548, 4547, 4546, 4545, 4544, 4543, 4542, 4541, 4540, 4539, 4538, 4537, 4536, 4535, 4534, 4533, 4532, 4531, 4530, 4529, 4528, 4527, 4526, 4525, 4524, 4523, 4522, 4521, 4520, 4519, 4518, 4517, 4516, 4515, 4514, 4513, 4512, 4511, 4510, 4509, 4508, 4507, 4506, 4505, 4504, 4503, 4502, 4501, 4500, 4499, 4498, 4497, 4496, 4495, 4494, 4493, 4492, 4491, 4490, 4489, 4488, 4487, 4486, 4485, 4484, 4483, 4482, 4481, 4480, 4479, 4478, 4477, 4476, 4475, 4474, 4473, 4472, 4471, 4470, 4469, 4468, 4467, 4466, 4465, 4464, 4463, 4462, 4461, 4460, 4459, 4458, 4457, 4456, 4455, 4454, 4453, 4452, 4451, 4450, 4449, 4448, 4447, 4446, 4445, 4444, 4443, 4442, 4441, 4440, 4439, 4438, 4437, 4436, 4435, 4434, 4433, 4432, 4431, 4430, 4429, 4428, 4427, 4426, 4425, 4424, 4423, 4422, 4421, 4420, 4419, 4418, 4417, 4416, 4415, 4414, 4413, 4412, 4411, 4410, 4409, 4408, 4407, 4406, 4405, 4404, 4403, 4402, 4401, 4400, 4399, 4398, 4397, 4396, 4395, 4394, 4393, 4392, 4391, 4390, 4389, 4388, 4387, 4386, 4385, 4384, 4383, 4382, 4381, 4380, 4379, 4378, 4377, 4376, 4375, 4374, 4373, 4372, 4371, 4370, 4369, 4368, 4367, 4366, 4365, 4364, 4363, 4362, 4361, 4360, 4359, 4358, 4357, 4356, 4355, 4354, 4353, 4352, 4351, 4350, 4349, 4348, 4347, 4346, 4345, 4344, 4343, 4342, 4341, 4340, 4339, 4338, 4337, 4336, 4335, 4334, 4333, 4332, 4331, 4330, 4329, 4328, 4327, 4326, 4325, 4324, 4323, 4322, 4321, 4320, 4319, 4318, 4317, 4316, 4315, 4314, 4313, 4312, 4311, 4310, 4309, 4308, 4307, 4306, 4305, 4304, 4303, 4302, 4301, 4300, 4299, 4298, 4297, 4296, 4295, 4294, 4293, 4292, 4291, 4290, 4289, 4288, 4287, 4286, 4285, 4284, 4283, 4282, 4281, 4280, 4279, 4278, 4277, 4276, 4275, 4274, 4273, 4272, 4271, 4270, 4269, 4268, 4267, 4266, 4265, 4264, 4263, 4262, 4261, 4260, 4259, 4258, 4257, 4256, 4255, 4254, 4253, 4252, 4251, 4250, 4249, 4248, 4247, 4246, 4245, 4244, 4243, 4242, 4241, 4240, 4239, 4238, 4237, 4236, 4235, 4234, 4233, 4232, 4231, 4230, 4229, 4228, 4227, 4226, 4225, 4224, 4223, 4222, 4221, 4220, 4219, 4218, 4217, 4216, 4215, 4214, 4213, 4212, 4211, 4210, 4209, 4208, 4207, 4206, 4205, 4204, 4203, 4202, 4201, 4200, 4199, 4198, 4197, 4196, 4195, 4194, 4193, 4192, 4191, 4190, 4189, 4188, 4187, 4186, 4185, 4184, 4183, 4182, 4181, 4180, 4179, 4178, 4177, 4176, 4175, 4174, 4173, 4172, 4171, 4170, 4169, 4168, 4167, 4166, 4165, 4164, 4163, 4162, 4161, 4160, 4159, 4158, 4157, 4156, 4155, 4154, 4153, 4152, 4151, 4150, 4149, 4148, 4147, 4146, 4145, 4144, 4143, 4142, 4141, 4140, 4139, 4138, 4137, 4136, 4135, 4134, 4133, 4132, 4131, 4130, 4129, 4128, 4127, 4126, 4125, 4124, 4123, 4122, 4121, 4120, 4119, 4118, 4117, 4116, 4115, 4114, 4113, 4112, 4111, 4110, 4109, 4108, 4107, 4106, 4105, 4104, 4103, 4102, 4101, 4100, 4099, 4098, 4097, 4096, 4095, 4094, 4093, 4092, 4091, 4090, 4089, 4088, 4087, 4086, 4085, 4084, 4083, 4082, 4081, 4080, 4079, 4078, 4077, 4076, 4075, 4074, 4073, 4072, 4071, 4070, 4069, 4068, 4067, 4066, 4065, 4064, 4063, 4062, 4061, 4060, 4059, 4058, 4057, 4056, 4055, 4054, 4053, 4052, 4051, 4050, 4049, 4048, 4047, 4046, 4045, 4044, 4043, 4042, 4041, 4040, 4039, 4038, 4037, 4036, 4035, 4034, 4033, 4032, 4031, 4030, 4029, 4028, 4027, 4026, 4025, 4024, 4023, 4022, 4021, 4020, 4019, 4018, 4017, 4016, 4015, 4014, 4013, 4012, 4011, 4010, 4009, 4008, 4007, 4006, 4005, 4004, 4003, 4002, 4001, 4000, 3999, 3998, 3997, 3996, 3995, 3994, 3993, 3992, 3991, 3990, 3989, 3988, 3987, 3986, 3985, 3984, 3983, 3982, 3981, 3980, 3979, 3978, 3977, 3976, 3975, 3974, 3973, 3972, 3971, 3970, 3969, 3968, 3967, 3966, 3965, 3964, 3963, 3962, 3961, 3960, 3959, 3958, 3957, 3956, 3955, 3954, 3953, 3952, 3951, 3950, 3949, 3948, 3947, 3946, 3945, 3944, 3943, 3942, 3941, 3940, 3939, 3938, 3937, 3936, 3935, 3934, 3933, 3932, 3931, 3930, 3929, 3928, 3927, 3926, 3925, 3924, 3923, 3922, 3921, 3920, 3919, 3918, 3917, 3916, 3915, 3914, 3913, 3912, 3911, 3910, 3909, 3908, 3907, 3906, 3905, 3904, 3903, 3902, 3901, 3900, 3899, 3898, 3897, 3896, 3895, 3894, 3893, 3892, 3891, 3890, 3889, 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75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1};
        long start = new Date().getTime();
        System.out.println(new ContainerWithMostWater().maxArea(nums));
        long end = new Date().getTime();
        System.out.println("耗时：" + (end - start) + "ms");
    }
}
